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Simplifying (38x + 63y) + (46x + -12y) = 0 Remove parenthesis around (38x + 63y) 38x + 63y + (46x + -12y) = 0 Remove parenthesis around (46x + -12y) 38x + 63y + 46x + -12y = 0 Reorder the terms: 38x + 46x + 63y + -12y = 0 Combine like terms: 38x + 46x = 84x 84x + 63y + -12y = 0 Combine like terms: 63y + -12y = 51y 84x + 51y = 0 Solving 84x + 51y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. 84x + 51y + -51y = 0 + -51y Combine like terms: 51y + -51y = 0 84x + 0 = 0 + -51y 84x = 0 + -51y Remove the zero: 84x = -51y Divide each side by '84'. x = -0.6071428571y Simplifying x = -0.6071428571y
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